{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generative Adversarial Networks in Keras"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n",
      "/home/jhoward/anaconda3/lib/python3.6/site-packages/sklearn/cross_validation.py:44: DeprecationWarning: This module was deprecated in version 0.18 in favor of the model_selection module into which all the refactored classes and functions are moved. Also note that the interface of the new CV iterators are different from that of this module. This module will be removed in 0.20.\n",
      "  \"This module will be removed in 0.20.\", DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import importlib\n",
    "import utils2; importlib.reload(utils2)\n",
    "from utils2 import *\n",
    "\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The original GAN!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "See [this paper](https://arxiv.org/abs/1406.2661) for details of the approach we'll try first for our first GAN. We'll see if we can generate hand-drawn numbers based on MNIST, so let's load that dataset first.\n",
    "\n",
    "We'll be refering to the discriminator as 'D' and the generator as 'G'."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 28, 28)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from keras.datasets import mnist\n",
    "(X_train, y_train), (X_test, y_test) = mnist.load_data()\n",
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n = len(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X_train = X_train.reshape(n, -1).astype(np.float32)\n",
    "X_test = X_test.reshape(len(X_test), -1).astype(np.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X_train /= 255.; X_test /= 255."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is just a helper to plot a bunch of generated images."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_gen(G, n_ex=16):\n",
    "    plot_multi(G.predict(noise(n_ex)).reshape(n_ex, 28,28), cmap='gray')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create some random data for the generator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def noise(bs): return np.random.rand(bs,100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a batch of some real and some generated data, with appropriate labels, for the discriminator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def data_D(sz, G):\n",
    "    real_img = X_train[np.random.randint(0,n,size=sz)]\n",
    "    X = np.concatenate((real_img, G.predict(noise(sz))))\n",
    "    return X, [0]*sz + [1]*sz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def make_trainable(net, val):\n",
    "    net.trainable = val\n",
    "    for l in net.layers: l.trainable = val"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Train a few epochs, and return the losses for D and G. In each epoch we:\n",
    "\n",
    "1. Train D on one batch from data_D()\n",
    "2. Train G to create images that the discriminator predicts as real."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def train(D, G, m, nb_epoch=5000, bs=128):\n",
    "    dl,gl=[],[]\n",
    "    for e in tqdm(range(nb_epoch)):\n",
    "        X,y = data_D(bs//2, G)\n",
    "        dl.append(D.train_on_batch(X,y))\n",
    "        make_trainable(D, False)\n",
    "        gl.append(m.train_on_batch(noise(bs), np.zeros([bs])))\n",
    "        make_trainable(D, True)\n",
    "    return dl,gl"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MLP GAN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll keep thinks simple by making D & G plain ole' MLPs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "MLP_G = Sequential([\n",
    "    Dense(200, input_shape=(100,), activation='relu'),\n",
    "    Dense(400, activation='relu'),\n",
    "    Dense(784, activation='sigmoid'),\n",
    "])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "MLP_D = Sequential([\n",
    "    Dense(300, input_shape=(784,), activation='relu'),\n",
    "    Dense(300, activation='relu'),\n",
    "    Dense(1, activation='sigmoid'),\n",
    "])\n",
    "MLP_D.compile(Adam(1e-4), \"binary_crossentropy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "MLP_m = Sequential([MLP_G,MLP_D])\n",
    "MLP_m.compile(Adam(1e-4), \"binary_crossentropy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 4000/4000 [00:47<00:00, 84.49it/s]    | 8/4000 [00:00<00:55, 71.74it/s]\n"
     ]
    }
   ],
   "source": [
    "dl,gl = train(MLP_D, MLP_G, MLP_m, 8000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The loss plots for most GANs are nearly impossible to interpret - which is one of the things that make them hard to train."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa0c449e390>]"
      ]
     },
     "execution_count": 161,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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RqperCPfMMyuTD/GyVS/NmZO83trqp88WL2xpzh13wPnnJ2+rlmo+BRIiUvU6dgy/79df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\nIiIioSmQEBERkdD+H0TFbN2SqmLOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa0bd194fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dl[100:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fa0bd2389e8>]"
      ]
     },
     "execution_count": 162,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6l+5KafgJNqxfCJN+9Gjgqqt0EOC0D6d1IkCbNtkxNIIq9qbjdoMulShv/vb2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\nG0RERBQrBhtEREQUKwYbREREFKv/D0waj3W2Rvy4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa0bc47ed68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(gl[100:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is what's known in the literature as \"mode collapse\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Z8ZhMJpjNZggEAhQKBRQKBRSLRTojOzw8BI/Hw3A4RL/fh8PhwNOnTxEIBOD3+xde+A9B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FUCjEGSdqtRqBQACrq6uCfnU6HUHKez6fh0KhQLvdRjabhU6nYw4Nh0NkMhlcXV0hn8/fWpvq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa0bce76e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_gen()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "OK, so that didn't work. Can we do better?..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## DCGAN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's lots of ideas out there to make GANs train better, since they are notoriously painful to get working. The [paper introducing DCGANs](https://arxiv.org/abs/1511.06434) is the main basis for our next section. Add see https://github.com/soumith/ganhacks for many tips!\n",
    "\n",
    "Because we're using a CNN from now on, we'll reshape our digits into proper images."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X_train = X_train.reshape(n, 28, 28, 1)\n",
    "X_test = X_test.reshape(len(X_test), 28, 28, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our generator uses a number of upsampling steps as suggested in the above papers. We use nearest neighbor upsampling rather than fractionally strided convolutions, as discussed in our style transfer notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 250,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "CNN_G = Sequential([\n",
    "    Dense(512*7*7, input_dim=100, activation=LeakyReLU()),\n",
    "    BatchNormalization(mode=2),\n",
    "    Reshape((7, 7, 512)),\n",
    "    UpSampling2D(),\n",
    "    Convolution2D(64, 3, 3, border_mode='same', activation=LeakyReLU()),\n",
    "    BatchNormalization(mode=2),\n",
    "    UpSampling2D(),\n",
    "    Convolution2D(32, 3, 3, border_mode='same', activation=LeakyReLU()),\n",
    "    BatchNormalization(mode=2),\n",
    "    Convolution2D(1, 1, 1, border_mode='same', activation='sigmoid')\n",
    "])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The discriminator uses a few downsampling steps through strided convolutions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 251,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "CNN_D = Sequential([\n",
    "    Convolution2D(256, 5, 5, subsample=(2,2), border_mode='same', \n",
    "                  input_shape=(28, 28, 1), activation=LeakyReLU()),\n",
    "    Convolution2D(512, 5, 5, subsample=(2,2), border_mode='same', activation=LeakyReLU()),\n",
    "    Flatten(),\n",
    "    Dense(256, activation=LeakyReLU()),\n",
    "    Dense(1, activation = 'sigmoid')\n",
    "])\n",
    "\n",
    "CNN_D.compile(Adam(1e-3), \"binary_crossentropy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We train D a \"little bit\" so it can at least tell a real image from random noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/1\n",
      "0s - loss: 0.3490\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x7f2a993e0b70>"
      ]
     },
     "execution_count": 252,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sz = n//200\n",
    "x1 = np.concatenate([np.random.permutation(X_train)[:sz], CNN_G.predict(noise(sz))])\n",
    "CNN_D.fit(x1, [0]*sz + [1]*sz, batch_size=128, nb_epoch=1, verbose=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 253,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "CNN_m = Sequential([CNN_G, CNN_D])\n",
    "CNN_m.compile(Adam(1e-4), \"binary_crossentropy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 261,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "K.set_value(CNN_D.optimizer.lr, 1e-3)\n",
    "K.set_value(CNN_m.optimizer.lr, 1e-3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can train D & G iteratively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 262,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2500/2500 [06:25<00:00,  6.52it/s]    | 1/2500 [00:00<07:10,  5.80it/s]\n"
     ]
    }
   ],
   "source": [
    "dl,gl = train(CNN_D, CNN_G, CNN_m, 2500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 259,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2a9a334d30>]"
      ]
     },
     "execution_count": 259,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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BQ66zJyorpW3b6j5eXi61bSt17pz+9TvsYOWkyTQAAGASHTTkmmmQGnZRlJdblqG5VTOc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\nABDK/wdWmOAquIDzbAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2a9af481d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(dl[10:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 260,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2a9a242550>]"
      ]
     },
     "execution_count": 260,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ionSWGf0m7rPbPbF//4mhoWZNYNEiWSQqVvXqSVjhqpBERJSOfBEaYqk0NGly4vWxDoA0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\nEVnC0EBERESW/D/ft1BEMyvSsQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2af47bbd30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(gl[10:])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Better than our first effort, but still a lot to be desired:..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 258,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MuqUqCHd3dxgMBuh2u2qB5+PjY/zjH//A8fGx8i18slSdbzHly/BympRu+T8d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ffvgB33//Pb755hvD74bDIS4uLnBxcYFcLvckd2QymYj7blYXTnUe9Lf2VS8HRJgymQyKxSIO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\nwgeWMFlYWFhYWFhY+OD/AfJ6MD+lPn9bAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f2b65028be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_gen(CNN_G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## End"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
